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Finding the Fourth Proportional to 73.30, 109.71 and 41.14

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Solution

The fourth proportional to 73.30, 109.71 and 41.14 is: 61.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.30 : 109.71 = 41.14 : x
  2. Step 2: Convert to fraction form
    73.30/109.71 = 41.14/x
  3. Step 3: Cross multiply
    73.30x = 109.71 × 41.14
  4. Step 4: Simplify right side
    73.30x = 4,513.47
  5. Step 5: Solve for x
    x = 4,513.47/73.30
  6. Step 6: Final answer
    x = 61.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.